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Finding the Third Proportional to 505,184 and 1,115,768

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Solution

The third proportional to 505,184 and 1,115,768 is: 2,464,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,184 : 1,115,768 = 1,115,768 : x
  2. Step 2: Convert to fraction form
    505,184/1,115,768 = 1,115,768/x
  3. Step 3: Cross multiply
    505,184x = 1,115,768 × 1,115,768
  4. Step 4: Simplify right side
    505,184x = 1,244,938,229,824
  5. Step 5: Solve for x
    x = 1,244,938,229,824/505,184
  6. Step 6: Final answer
    x = 2,464,326.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.